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Afina-wow [57]
3 years ago
14

What is the value of this expression when a = 7 and b = -4? | 2a | - b/3 A.) -6 B.) -3 1/3 C.) 3 1/3 D.) 6

Mathematics
2 answers:
Aleks [24]3 years ago
8 0

The answer to the question what is the value of this expression when a = 7 and b = -4? | 2a | - b/3 it is D.) 6

vampirchik [111]3 years ago
4 0

Answer:

D

Step-by-step explanation:

(|2(7)| - -4) / 3

Multiply.

(|14| +4) / 3

Add.

(18) / 3

Divide.

= 6

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Which length is equivalent to 12 yards?
elena-s [515]

Answer:

D

Step-by-step explanation:

there are 3 ft in a yard, so to find how many yards you multiply 3 time 12, which equals 36.

5 0
3 years ago
Read 2 more answers
Solve using Fourier series.
Olin [163]
With 2L=\pi, the Fourier series expansion of f(x) is

\displaystyle f(x)\sim\frac{a_0}2+\sum_{n\ge1}a_n\cos\dfrac{n\pi x}L+\sum_{n\ge1}b_n\sin\dfrac{n\pi x}L
\displaystyle f(x)\sim\frac{a_0}2+\sum_{n\ge1}a_n\cos2nx+\sum_{n\ge1}b_n\sin2nx

where the coefficients are obtained by computing

\displaystyle a_0=\frac1L\int_0^{2L}f(x)\,\mathrm dx
\displaystyle a_0=\frac2\pi\int_0^\pi f(x)\,\mathrm dx

\displaystyle a_n=\frac1L\int_0^{2L}f(x)\cos\dfrac{n\pi x}L\,\mathrm dx
\displaystyle a_n=\frac2\pi\int_0^\pi f(x)\cos2nx\,\mathrm dx

\displaystyle b_n=\frac1L\int_0^{2L}f(x)\sin\dfrac{n\pi x}L\,\mathrm dx
\displaystyle b_n=\frac2\pi\int_0^\pi f(x)\sin2nx\,\mathrm dx

You should end up with

a_0=0
a_n=0
(both due to the fact that f(x) is odd)
b_n=\dfrac1{3n}\left(2-\cos\dfrac{2n\pi}3-\cos\dfrac{4n\pi}3\right)

Now the problem is that this expansion does not match the given one. As a matter of fact, since f(x) is odd, there is no cosine series. So I'm starting to think this question is missing some initial details.

One possibility is that you're actually supposed to use the even extension of f(x), which is to say we're actually considering the function

\varphi(x)=\begin{cases}\frac\pi3&\text{for }|x|\le\frac\pi3\\0&\text{for }\frac\pi3

and enforcing a period of 2L=2\pi. Now, you should find that

\varphi(x)\sim\dfrac2{\sqrt3}\left(\cos x-\dfrac{\cos5x}5+\dfrac{\cos7x}7-\dfrac{\cos11x}{11}+\cdots\right)

The value of the sum can then be verified by choosing x=0, which gives

\varphi(0)=\dfrac\pi3=\dfrac2{\sqrt3}\left(1-\dfrac15+\dfrac17-\dfrac1{11}+\cdots\right)
\implies\dfrac\pi{2\sqrt3}=1-\dfrac15+\dfrac17-\dfrac1{11}+\cdots

as required.
5 0
3 years ago
Find the length of LM. Show your work.
kicyunya [14]

Answer:

<h2>20</h2>

<em>Solution</em><em>,</em>

<em><</em><em>N=</em><em>1</em><em>8</em><em>0</em><em>-</em><em>5</em><em>3</em><em>-</em><em>4</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>8</em><em>3</em>

<h3><em>Apply </em><em>sines </em><em>rule,</em></h3>

<em>\frac{lm}{sin \: 83}  =  \frac{14}{sin44}  \\ lm =  \frac{14 \: sin \: 83}{sin \: 44}  \\ lm = 20</em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

4 0
3 years ago
Read 2 more answers
Simplify each expression 10x+2x-12x
Stells [14]

Answer:

Step-by-step explanation:

X = 0

Everything gets canceled out

Mark brainliest please :))

5 0
3 years ago
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Identify the part, whole and percent in the following statement: Find 15% of 750
erma4kov [3.2K]
You have to multiply 750*100 and then divide 75,000 with 15, which gives you 5,000
8 0
3 years ago
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